Nonlinear equationsBroyden-like methodLine searchConvergenceIn this paper, we introduce a modified Broyden-like quasi-Newton method for solving nonlinear equations, which is an acceleration version of the Broyden-like method presented by Li and Fukushima (2000). We show that the proposed method has ...
A modified quasi-Newton method for nonlinear equations ☆65H1090C53Nonlinear equationsNew quasi-Newton equationModified quasi-Newton methodLocal superlinear convergenceIn this paper, a modified quasi-Newton method is proposed for solving the nonlinear equation F(x)=0 F ( x ) = 0 mathContainer ...
The Newton-Raphson method is a method used to find solutions for nonlinear systems of equations. Learn what the Newton-Raphson method is, how it is set up, review the calculus and linear algebra involved, and see how the information is packaged. Finally, explore how to solve a problem using...
The main reason is that when the Jacobian is sparse and the locations of the zeroes are known, the updating procedure can be made more efficient for the approximate Jacobian than for the approximate inverse Jacobian.关键词: Quasi-Newton method nonlinear simultaneous equations approximation to ...
constrained nonlinear equations, active set, quasi-Newton, global convergence, projection Citation: Zhensheng Yu, Peixin Li. An active set quasi-Newton method with projection step for monotone nonlinear equations[J]. AIMS Mathematics, 2021, 6(4): 3606-3623. doi: 10.3934/math.2021215 Relate...
Newton's Method Lessons Newton-Raphson Method for Nonlinear Systems of Equations Lesson Transcript Instructors Mark Lewis View bio Erin Ryan Understand what Newton's Method is. Learn about Newton's Method Formula and how to do Newton's Method. Get practical insights through various examples.Updated...
In this paper, we mainly study the iterative method for nonlinear equations. We present and analyze a modified seventh-order convergent Newton-type method for solving nonlinear equations. The method is free from second derivatives. Some numerical results illustrate that the proposed method is more ...
A Newton method for the nonlinear system of equations F(x) = 0 has the iteration ( F(x k ))d k = −F(x k )Applying an iterative linear system solver to this system yields ( F(x k ))d k = −F(x k ) +r k and if progress is judged by the merit function...
I'm a student and recently acquainted with MatLab, and I have to program Newton's method on it for a work. The thing is, I'm not sure how to code it in the program. I have the following function and values: f(x)=e^x-4x^2, with a x0?2 and a max tolerance of 0.5*10^-...
A parallel Newton-type method for nonlinear model predictive control is presented that exploits the particular structure of the associated discrete-time Euler–Lagrange equations obtained by utilizing an explicit discretization method in the reverse-time direction. These equations are approximately decoupled ...